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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2009 Volume 73, Issue 4, Pages 77–152 (Mi im2714)

This article is cited in 6 papers

Log canonical thresholds of three-dimensional Fano hypersurfaces

I. A. Cheltsov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We study global log canonical thresholds of generic hypersurfaces in $\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$ of degree $\sum_{i=1}^{4}a_{i}$ that have at most terminal singularities.

Keywords: Fano variety, log canonical threshold, Tian's alpha-invariant, Kähler–Einstein metric.

UDC: 512.7

MSC: 14J45, 14E07, 14J17, 14J30, 14B05, 32Q20

Received: 06.08.2007
Revised: 25.01.2008

DOI: 10.4213/im2714


 English version:
Izvestiya: Mathematics, 2009, 73:4, 727–795

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